Answer:
x = 14.5 y = 1
Step-by-step explanation:
get the x alone by subtracting 5y from both sides
10x + 5y = 150
- 5y -5y
10x = -5y + 150
divide both sides by 10
<u>10x</u> = <u>-5y + 150</u>
10 10
x = -0.5y + 15
Now that we've solved for x, we can plug it into the original equation
10 (-0.5y + 15) + 5y = 150
now we solve for y the same way we did x
first distribute 10 into (-0.5y + 15)
-5 + 150 +5y = 150
now we get the y alone
-5 + 150 + 5y = 150
+5 -150 -150 +5
5y = 5
now divide by 5
<u>5y</u> = <u>5</u>
5 5
y = 1
now that we have both x and y, we plug y into our solution for x
x = -0.5y + 15
x = -0.5(1) + 15
x= -0.5 + 15
x = 14.5
Answer:
Step-by-step expla3
x
−
2
y
<
10
Solve for y
.
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y
>
−
5+
3
x
2
Find the slope and the y-intercept for the boundary line.
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Slope:
3
2
y-intercept:
(
0
,
−
5
)
Graph a dashed line, then shade the area above the boundary line since
y
is greater than
−
5
+
3
x
2
.
y
>
−
5
+3
x2
Answer:
B
Step-by-step explanation:
since 5 is constant so you can take it out from the summation
Answer:
The equation would be x^2 + y^2 = 9
Step-by-step explanation:
In order to find this, start with the base form of the circle.
(x - h)^2 + (y - k)^2 = r^2
Now we input the center as (h, k).
(x - 0)^2 + (y - 0)^2 = r^2
x^2 + y^2 = r^2
Now we can input the radius of 3 in for r
x^2 + y^2 = 3^2
x^2 + y^2 = 9
Answer:
first one
Step-by-step explanation:
he adds 5(7) to his collection then 8(4) too and after wards he throws away 2